Banach spaces with the $4.3.$ intersection property
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- Proc. Amer. Math. Soc. 80 (1980), 431-434 Request permission
Abstract:
We show that a finite-dimensional Banach space has the 4.3. intersection property if and only if it is isometric to an ${l_\infty }$-sum of one- and two-dimensional spaces.References
- Åsvald Lima, Intersection properties of balls and subspaces in Banach spaces, Trans. Amer. Math. Soc. 227 (1977), 1–62. MR 430747, DOI 10.1090/S0002-9947-1977-0430747-4
- Asvald Lima, Complex Banach spaces whose duals are $L_{1}$-spaces, Israel J. Math. 24 (1976), no. 1, 59–72. MR 425584, DOI 10.1007/BF02761429
- Åsvald Lima, An application of a theorem of Hirsberg and Lazar, Math. Scand. 38 (1976), no. 2, 325–340. MR 435802, DOI 10.7146/math.scand.a-11639
- Joram Lindenstrauss, Extension of compact operators, Mem. Amer. Math. Soc. 48 (1964), 112. MR 179580 E. Helly, Über Mengen konvexer Körper mit gemeinschaftlichen Punkten, Jber. Deutsch. Math.-Verein. 32 (1923), 175-176.
Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 80 (1980), 431-434
- MSC: Primary 46B05; Secondary 52A35
- DOI: https://doi.org/10.1090/S0002-9939-1980-0580998-9
- MathSciNet review: 580998